If \(x\) is an integer, then which of the following statements about \(x^2 - x - 1\) is true?

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If \(x\) is an integer, then which of the following statements about \(x^2 - x - 1\) is true?

A) It is always odd.
B) It is always even.
C) It is always positive.
D) It is even when \(x\) is even and odd when \(x\) is odd.
E) It is even when \(x\) is odd and odd when \(x\) is even.

Answer: A

Source: Princeton Review